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Finding the Fourth Proportional to 524.75, 724.16 and 291.93

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Solution

The fourth proportional to 524.75, 724.16 and 291.93 is: 402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 724.16 = 291.93 : x
  2. Step 2: Convert to fraction form
    524.75/724.16 = 291.93/x
  3. Step 3: Cross multiply
    524.75x = 724.16 × 291.93
  4. Step 4: Simplify right side
    524.75x = 211,402.57
  5. Step 5: Solve for x
    x = 211,402.57/524.75
  6. Step 6: Final answer
    x = 402.86

Related Problems

Find fourth proportional to 262.38, 362.08 and 145.97
Half scale
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Double scale
Find fourth proportional to 525.75, 725.54 and 292.93
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.